## 21 Citations

Empirical Bayes small area prediction under a zero‐inflated lognormal model with correlated random area effects

- MathematicsBiometrical journal. Biometrische Zeitschrift
- 2020

This work develops empirical Bayes (EB) small area predictors and a bootstrap estimator of the mean squared error (MSE) and concludes that the EB predictors of mean RUSLE2 erosion are superior to direct estimators.

An approximate best prediction approach to small area estimation for sheet and rill erosion under informative sampling

- Mathematics
- 2021

The National Resources Inventory, a longitudinal survey of characteristics related to natural resources and agriculture on nonfederal US land, has increasingly received requests for sub-state…

Prediction of small area quantiles for the conservation effects assessment project using a mixed effects quantile regression model

- Mathematics
- 2019

Quantiles of the distributions of several measures of erosion are important parameters in the Conservation Effects Assessment Project, a survey intended to quantify soil and nutrient loss on crop…

Small area prediction of quantiles for zero-inflated data and an informative sample design

- MathematicsStatistical Theory and Related Fields
- 2019

ABSTRACT The Conservation Effects Assessment Project (CEAP) is a survey intended to quantify soil and nutrient loss on cropland. Estimates of the quantiles of CEAP response variables are published.…

The spatial empirical Bayes predictor of the small area mean for a lognormal variable of interest and spatially correlated random effects

- Mathematics
- 2018

The standard small area estimator, the empirical best linear unbiased predictor (EBLUP), estimates small area parameters by way of linear mixed models. The EBLUP assumes normal and independent random…

The spatial empirical Bayes predictor of the small area mean for a lognormal variable of interest and spatially correlated random effects

- Mathematics
- 2018

AbstractThe standard small area estimator, the empirical best linear unbiased predictor (EBLUP), estimates small area parameters by way of linear mixed models. The EBLUP assumes normal and…

Small Area Estimation with a Lognormal Mixed Model under Informative Sampling

- BusinessJournal of Official Statistics
- 2018

Abstract The demand for reliable business statistics at disaggregated levels, such as industry classes, increased considerably in recent years. Owing to small sample sizes for some of the domains,…

Small Area Estimation for Skewed Semicontinuous Spatially Structured Responses

- Mathematics, Economics
- 2020

When surveys are not originally designed to produce estimates for small geographical areas, some of these domains can be poorly represented in the sample. In such cases, model-based small area…

Topics on small area estimation, multilevel models, and semiparametric imputation

- Mathematics
- 2019

This dissertation addresses some issues often raised in analyzing survey data, specifically on small area estimation, multilevel models and item nonresponse, and develops new methods to reasonably…

An application of a small area procedure with correlation between measurement error and sampling error to the Conservation Effects Assessment Project

- Environmental Science
- 2021

County level estimates of mean sheet and rill erosion from the Conservation Effects Assessment Project (CEAP) survey are useful for program development and evaluation. As a result of small county…

## References

SHOWING 1-10 OF 26 REFERENCES

An Empirical Best Linear Unbiased Prediction Approach to Small-Area Estimation of Crop Parameters

- Geography
- 2011

Accurate county (small-area) level estimation of crop and livestock items is an important priority for the USDA's National Agricultural Statistics Service (NASS). We consider an empirical best linear…

Resampling-based empirical prediction: an application to small area estimation

- Mathematics
- 2006

Best linear unbiased prediction is well known for its wide range of applications including small area estimation. While the theory is well established for mixed linear models and under normality of…

Robust small area estimation

- Mathematics
- 2009

Small area estimation has received considerable attention in recent years because of growing demand for small area statistics. Basic area‐level and unit‐level models have been studied in the…

M-quantile models for small area estimation

- Mathematics
- 2006

Small area estimation techniques typically rely on regression models that use both covariates and random effects to explain variation between the areas. However, such models also depend on strong…

The estimation of the mean squared error of small-area estimators

- Mathematics
- 1990

Abstract Small-area estimation has received considerable attention in recent years because of a growing demand for reliable small-area statistics. The direct-survey estimators, based only on the data…

The Mean Squared Error of Small Area Predictors Constructed With Estimated Area Variances

- Mathematics
- 2003

In the small area estimation literature, the sampling error variances are customarily assumed to be known or to depend on a finite number of parameters. We consider the empirical best linear unbiased…

Bayesian transformed models for small area estimation

- Economics
- 2001

H hierarchical models with power transformations are proposed for improving the precision of small area predictions in sample surveys to estimate mean acreage under a specified crop for counties in Iowa.

Small-area estimation based on natural exponential family quadratic variance function models and survey weights

- Mathematics
- 2004

We propose pseudo empirical best linear unbiased estimators of small-area means based on natural exponential family quadratic variance function models when the basic data consist of survey-weighted…

Best Predictive Small Area Estimation

- Mathematics
- 2011

We derive the best predictive estimator (BPE) of the fixed parameters under two well-known small area models, the Fay–Herriot model and the nested-error regression model. This leads to a new…

An Error-Components Model for Prediction of County Crop Areas Using Survey and Satellite Data

- Environmental Science
- 1988

Abstract Knowledge of the area under different crops is important to the U.S. Department of Agriculture. Sample surveys have been designed to estimate crop areas for large regions, such as…